{"id":"https://openalex.org/W4385954204","doi":"https://doi.org/10.1080/11663081.2023.2244367","title":"Sequent-type rejection systems for finite-valued non-deterministic logics","display_name":"Sequent-type rejection systems for finite-valued non-deterministic logics","publication_year":2023,"publication_date":"2023-08-17","ids":{"openalex":"https://openalex.org/W4385954204","doi":"https://doi.org/10.1080/11663081.2023.2244367"},"language":"en","primary_location":{"id":"doi:10.1080/11663081.2023.2244367","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1080/11663081.2023.2244367","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092656246","display_name":"Martin Gius","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Martin Gius","raw_affiliation_strings":["Institute of Logic and Computation, Knowledge-based Systems Group, Technische Universit\u00e4t Wien, Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Logic and Computation, Knowledge-based Systems Group, Technische Universit\u00e4t Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073662063","display_name":"Hans Tompits","orcid":"https://orcid.org/0000-0001-5673-2460"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Hans Tompits","raw_affiliation_strings":["Institute of Logic and Computation, Knowledge-based Systems Group, Technische Universit\u00e4t Wien, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0001-5673-2460","affiliations":[{"raw_affiliation_string":"Institute of Logic and Computation, Knowledge-based Systems Group, Technische Universit\u00e4t Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073662063"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09842794,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"3-4","first_page":"606","last_page":"640"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.7744415998458862},{"id":"https://openalex.org/keywords/sequent-calculus","display_name":"Sequent calculus","score":0.6459709405899048},{"id":"https://openalex.org/keywords/kripke-semantics","display_name":"Kripke semantics","score":0.5330240726470947},{"id":"https://openalex.org/keywords/t-norm-fuzzy-logics","display_name":"T-norm fuzzy logics","score":0.5255804657936096},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.49375542998313904},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4847992956638336},{"id":"https://openalex.org/keywords/\u0142ukasiewicz-logic","display_name":"\u0141ukasiewicz logic","score":0.479438453912735},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43593505024909973},{"id":"https://openalex.org/keywords/monoidal-t-norm-logic","display_name":"Monoidal t-norm logic","score":0.4264400899410248},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.41809332370758057},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4169672727584839},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.41556623578071594},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3844216465950012},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34079471230506897},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3190000057220459},{"id":"https://openalex.org/keywords/substructural-logic","display_name":"Substructural logic","score":0.298910915851593},{"id":"https://openalex.org/keywords/many-valued-logic","display_name":"Many-valued logic","score":0.2597191333770752},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.22926190495491028},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.1853163242340088},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18509182333946228},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14036279916763306},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.07882234454154968},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.06854051351547241}],"concepts":[{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.7744415998458862},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.6459709405899048},{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.5330240726470947},{"id":"https://openalex.org/C86602344","wikidata":"https://www.wikidata.org/wiki/Q7667918","display_name":"T-norm fuzzy logics","level":5,"score":0.5255804657936096},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.49375542998313904},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4847992956638336},{"id":"https://openalex.org/C206321295","wikidata":"https://www.wikidata.org/wiki/Q8080919","display_name":"\u0141ukasiewicz logic","level":5,"score":0.479438453912735},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43593505024909973},{"id":"https://openalex.org/C98224912","wikidata":"https://www.wikidata.org/wiki/Q6901647","display_name":"Monoidal t-norm logic","level":5,"score":0.4264400899410248},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.41809332370758057},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4169672727584839},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.41556623578071594},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3844216465950012},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34079471230506897},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3190000057220459},{"id":"https://openalex.org/C144760519","wikidata":"https://www.wikidata.org/wiki/Q839490","display_name":"Substructural logic","level":4,"score":0.298910915851593},{"id":"https://openalex.org/C150889026","wikidata":"https://www.wikidata.org/wiki/Q185502","display_name":"Many-valued logic","level":3,"score":0.2597191333770752},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.22926190495491028},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.1853163242340088},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18509182333946228},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14036279916763306},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.07882234454154968},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.06854051351547241},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.0},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/11663081.2023.2244367","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1080/11663081.2023.2244367","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W32737931","https://openalex.org/W37116735","https://openalex.org/W157820179","https://openalex.org/W297342247","https://openalex.org/W1481398220","https://openalex.org/W1566498025","https://openalex.org/W1586926492","https://openalex.org/W1668477564","https://openalex.org/W1677271966","https://openalex.org/W1965803162","https://openalex.org/W1966552757","https://openalex.org/W1985861536","https://openalex.org/W1992852948","https://openalex.org/W1995375207","https://openalex.org/W1997929764","https://openalex.org/W2000548819","https://openalex.org/W2016237468","https://openalex.org/W2019738341","https://openalex.org/W2037668023","https://openalex.org/W2037995299","https://openalex.org/W2039977878","https://openalex.org/W2044169892","https://openalex.org/W2048470700","https://openalex.org/W2073897909","https://openalex.org/W2087490886","https://openalex.org/W2101932158","https://openalex.org/W2142616542","https://openalex.org/W2150792576","https://openalex.org/W2155322595","https://openalex.org/W2314308510","https://openalex.org/W2319549361","https://openalex.org/W2329329248","https://openalex.org/W2335478831","https://openalex.org/W2499805973","https://openalex.org/W2945259913","https://openalex.org/W3088982927","https://openalex.org/W4239309848","https://openalex.org/W4249259371","https://openalex.org/W4251401320","https://openalex.org/W4251444040","https://openalex.org/W4252415536","https://openalex.org/W4253656749","https://openalex.org/W4388372668","https://openalex.org/W6657026612","https://openalex.org/W7045584002"],"related_works":["https://openalex.org/W16267316","https://openalex.org/W88232665","https://openalex.org/W2090076725","https://openalex.org/W637989598","https://openalex.org/W4294175725","https://openalex.org/W2310799747","https://openalex.org/W2065267682","https://openalex.org/W1968826078","https://openalex.org/W3032338208","https://openalex.org/W2156897951"],"abstract_inverted_index":{"AbstractA":[0],"rejection":[1,76,91,129,188],"system,":[2],"also":[3],"referred":[4],"to":[5,23,44],"as":[6,112,138],"a":[7,11,19,35,98,113,123],"complementary":[8],"calculus,":[9],"is":[10],"proof":[12,57],"system":[13],"axiomatising":[14],"the":[15,28,69,180,191],"invalid":[16],"formulas":[17],"of":[18,39,71,101,115,141,158,175],"logic,":[20],"in":[21,51,68,156],"contrast":[22],"traditional":[24,116],"calculi":[25,60,147],"which":[26,47,105,152],"axiomatise":[27],"valid":[29],"ones.":[30],"Rejection":[31,59],"systems":[32,77,92,130],"therefore":[33],"introduce":[34,122],"purely":[36],"syntactic":[37],"way":[38],"determining":[40],"non-validity":[41],"without":[42],"having":[43],"consider":[45],"countermodels,":[46],"can":[48,153],"be":[49,154],"useful":[50],"procedures":[52],"for":[53,78,93,126,131,148],"automated":[54],"deduction":[55],"and":[56,74,110,161],"search.":[58],"have":[61,82],"first":[62],"been":[63,83],"formally":[64],"introduced":[65,107],"by":[66,108,179,193],"\u0141ukasiewicz":[67],"context":[70],"Aristotelian":[72],"syllogistic":[73],"subsequently":[75],"many":[79],"well-known":[80],"logics":[81,104,151,170],"proposed.":[84],"In":[85],"this":[86],"paper,":[87],"we":[88,121,144],"deal":[89],"with":[90],"so-called":[94],"non-deterministic":[95,102,134,159],"finite-valued":[96,135],"logics,":[97],"special":[99,139],"case":[100],"many-valued":[103,117],"were":[106],"Avron":[109],"Lev":[111],"generalisation":[114],"logics.":[118],"More":[119],"specifically,":[120],"systematic":[124],"method":[125],"constructing":[127],"sequent-style":[128],"any":[132],"given":[133],"logic.":[136],"Furthermore,":[137],"instances":[140],"our":[142],"method,":[143],"provide":[145],"concrete":[146],"specific":[149],"paraconsistent":[150],"characterised":[155],"terms":[157],"two-":[160],"three-valued":[162],"semantics,":[163],"respectively.Keywords:":[164],"Sequent-type":[165],"systemsfinite-valued":[166],"logicsproof":[167],"theoryaxiomatic":[168],"rejectionparaconsistent":[169],"Disclosure":[171],"statementNo":[172],"potential":[173],"conflict":[174],"interest":[176],"was":[177],"reported":[178],"authors.Notes1":[181],"For":[182],"an":[183],"excellent":[184],"recent":[185],"survey":[186],"about":[187],"systems,":[189],"cf.":[190],"paper":[192],"Goranko":[194],"et":[195],"al.":[196],"(Citation2020).":[197]},"counts_by_year":[],"updated_date":"2025-12-21T23:12:01.093139","created_date":"2025-10-10T00:00:00"}
